You seem to be a heavy user. I would double check your phone in case something is wrong, and having done that, if it is okay, go buy a Mophie Juice Pack. I have the Mophie Juice Pack Air that I use when I know I am going to have a very heavy day of phone use and I won't be able to re-charge. Good luck.
Yeah I keep eyeing these up, but it adds so much bulk and I have a very small profile case on my iPhone.
It's just a thing that's come with iOS 7 and the 5/5S for me. Never really had the same issues with 3-4S iPhones. I wouldn't even say heavy - I stream iTunes Match for 2-3 hours a day, 1 15min phone call, 30 iMessages and 10 emails a day retrieved (tops) with some data usage on Facebook etc once every few hours. Nothing strenuous IMO. Just don't think the battery is very good